Research Article

Unprecedented Integral-Free Debye Temperature Formulas: Sample Applications to Heat Capacities of ZnSe and ZnTe

Table 9

High-precision sample values of the characteristic Debye variable, , which have been calculated for a series of discrete (equidistant) -values via the couple of complementary low- and high-capacity formulas, (B.8) and (B.9), using the model-specific coefficients listed in Table 8 (note that we have obtained precisely the same values also in alternative way via numerical integration procedures based directly on (A.1), for integration steps chosen to be of order ).


0.0119.8256380.216.7095310.414.6666350.613.3192750.812.100219
0.0215.7333350.226.5686970.424.5900770.623.2582660.822.035428
0.0313.7371340.236.4343480.434.5148910.633.1975320.831.969683
0.0412.4683840.246.3058520.444.4409940.643.1370320.841.902849
0.0511.5571610.256.1826620.454.3683060.653.0767250.851.834773
0.0610.8542610.266.0642980.464.2967520.663.0165700.861.765274
0.0710.2859690.275.9503430.474.2262630.672.9565250.871.694144
0.089.8109660.285.8404250.484.1567720.682.8965480.881.621130
0.099.4039820.295.7342160.494.0882170.692.8365950.891.545932
0.109.0485390.305.6314240.504.0205380.702.7766220.901.468177
0.118.7333530.315.5317880.513.9536790.712.7165810.911.387399
0.128.4503820.325.4350720.523.8875870.722.6564250.921.302998
0.138.1937150.335.3410640.533.8222090.732.5961030.931.214179
0.147.9588880.345.2495720.543.7574960.742.5355600.941.119852
0.157.7424510.355.1604210.553.6934000.752.4747400.951.018444
0.167.5416920.365.0734520.563.6298740.762.4135820.960.907538
0.177.3544380.374.9885200.573.5668750.772.3520210.970.783057
0.187.1789280.384.9054900.583.5043570.782.2899850.980.637031
0.197.0137110.394.8242410.593.4422790.792.2273980.990.448821
0.206.8575830.404.7446570.603.3805990.802.1641731.000.000000